DIVIDING COMPLEX NUMBERS IN POLAR FORM WORKSHEET

Find the quotient z₁/z₂ of the complex numbers. Leave answers in polar form. Express the argument as an angle between 0° and 360°.

Problem 1 :

z₁ = 20(cos 75° + i sin 75°)

z₂ = 4(cos 25° + i sin 25°)

Solution

Problem 2 :

z₁ = 50(cos 80° + i sin 80°)

z₂ = 10(cos 20° + i sin 20°)

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

z₁ = cos 80° + i sin 80°

z₂ = cos 200° + i sin 200°

Solution

Problem 6 :

z₁ = cos 70° + i sin 70°

z₂ = cos 230° + i sin 230°

Solution

Problem 7 :

z₁ = 2 + 2i

z₂ = 1 + i

Solution

Problem 8 :

z₁ = 2 - 2i

z₂ = 1 - i

Solution